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Simplifying 15x2 + -3x(8 + 5x) = -1(3x + -9) + 33 15x2 + (8 * -3x + 5x * -3x) = -1(3x + -9) + 33 15x2 + (-24x + -15x2) = -1(3x + -9) + 33 Reorder the terms: -24x + 15x2 + -15x2 = -1(3x + -9) + 33 Combine like terms: 15x2 + -15x2 = 0 -24x + 0 = -1(3x + -9) + 33 -24x = -1(3x + -9) + 33 Reorder the terms: -24x = -1(-9 + 3x) + 33 -24x = (-9 * -1 + 3x * -1) + 33 -24x = (9 + -3x) + 33 Reorder the terms: -24x = 9 + 33 + -3x Combine like terms: 9 + 33 = 42 -24x = 42 + -3x Solving -24x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24x + 3x = 42 + -3x + 3x Combine like terms: -24x + 3x = -21x -21x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 -21x = 42 + 0 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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